Calculate Pump Output in GPM

Volume of a cylinder is pi*r^2*h, not 1/2 pi*r^2*h as was used in the previous post. In summary, the output of the pump is 196 gallons per minute. The cylinder has a diameter of 6 inches and a stroke of 8 inches with 200 strokes per minute. The volume of the cylinder is calculated using the formula pi*r^2*h, and the total output is found by multiplying this volume by the number of strokes per minute. The final output is 196 gallons per minute.
  • #1
scientist
28
0
The cylinder of a pump has a 6 inch diameter. The stroke is 8 inches in length with 200 strokes per minute. Find the output of the pump in gallons per minute.
 
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  • #2
Output in gal/min = cylinder volume (in gals.) * number of strokes per min.
 
  • #3
As a followup to EnumaElish's reply.. Are you in good shape finding the volume of the cylinder?http://www.mathleague.com/help/geometry/3space.htm#cylinder [Broken]
The question states the diameter, all you need is the length (which is implied in the problem description)
 
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  • #4
check my answer

EnumaElish said:
Output in gal/min = cylinder volume (in gals.) * number of strokes per min.
-----------------------------------------------------------------------
:smile: undefined

Can yourself EnumaElish check my answer?

v = pi * r^2 * h
= (3.140) * (3^2) * (8)
= 226 cubic inches in each stroke

Total = 226 cubic inches x 200 strokes = 45,200 cubic inches

convert cubic inches to gallons ; 1 gallon = 231 cubic inches

45,200 cubic inches
------------------
231 cubic inches

= 196 gallons

Is this correct? Please post.
 
  • #5
scientist said:
= 196 gallons

Is this correct? Please post.
It looks right to me, with the minor edit that it's 196 gals. per minute. Anyone else care to comment?
 
Last edited:
  • #7
Correct, provided 200 is the no.of discharge strokes per minute, otherwise half the flowrate.
 

1. How do you calculate pump output in GPM?

To calculate pump output in gallons per minute (GPM), you need to know the pump's flow rate (in cubic feet per minute, or CFM) and the pump's efficiency. Multiply the pump's CFM by its efficiency, then divide by 7.48 (the number of gallons in a cubic foot) to get the output in GPM.

2. What is the formula for calculating pump output in GPM?

The formula for calculating pump output in GPM is: (CFM x Efficiency) / 7.48 = GPM.

3. How do you determine the efficiency of a pump?

The efficiency of a pump can be determined by dividing the pump's output power (in horsepower) by its input power (in horsepower) and multiplying by 100 to get a percentage. The higher the percentage, the more efficient the pump is.

4. Can the pump's efficiency change over time?

Yes, the pump's efficiency can change over time due to factors such as wear and tear, changes in operating conditions, and lack of maintenance. It is important to regularly monitor and maintain pumps to ensure they are operating at their optimal efficiency.

5. How does the pump's output in GPM affect its performance?

The pump's output in GPM directly affects its performance. A higher output in GPM means the pump can move a larger volume of fluid in a given amount of time, resulting in faster flow rates and increased efficiency. Lower output in GPM may indicate a problem with the pump or a need for maintenance.

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